Three-particle Complexes in Two-Dimensional Semiconductors

Abstract

We map the three-body problem in two dimensions onto one particle in a three dimensional potential treatable by a purposely-developed boundary-matching-matrix method. We evaluate binding energies of trions $X^{\pm }$, excitons bound by a donor/acceptor charge $X^{D/A}$, and overcharged acceptors/donors in two-dimensional atomic crystals of transition metal dichalcogenides, where interaction between charges features logarithmic behavior at intermediate distances. We find that dissociation energy of $X^{\pm }$ is, typically, much larger than that of localised exciton complexes, so that trions are more resilient to heating, despite that their recombination line in optics is much less red-shifted from the exciton line, as compared to $X^{D/A}$

5.1 pages, 3 figures,+ supplementary material (5 pages); Improved numerics; Monte Carlo data added; Published version

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Cited by in corpus (2)

• k.p theory for two-dimensional transition metal dichalcogenide semiconductors
• Excitonic resonances in thin films of WSe2: From monolayer to bulk material